Calculating Train Travel Time in Seconds
This problem requires calculating the time taken for a train to travel a given distance at a specific speed. The final answer needs to be in seconds.
Given Information
- Speed of train = 45 km/h
- Distance = $\frac{4}{5}$ km
Formula
The relationship between speed, distance, and time is given by:
$Time = Distance / Speed$
Calculation Steps
-
Calculate the time in hours using the given speed and distance.
$Time (hours)$ = $\frac{\text{Distance}}{\text{Speed}}$
$Time (hours)$ = $\frac{\frac{4}{5} \text{ km}}{45 \text{ km/h}}$
$Time (hours)$ = $\frac{4}{5 \times 45}$ hours
$Time (hours)$ = $\frac{4}{225}$ hours
-
Convert the time from hours to seconds.
We know that 1 hour = 3600 seconds.
$Time (seconds)$ = $Time (hours)$ $\times$ 3600
$Time (seconds)$ = $\frac{4}{225} \times 3600$ seconds
-
Simplify the expression.
$Time (seconds)$ = $4 \times \frac{3600}{225}$ seconds
$Time (seconds)$ = $4 \times 16$ seconds
$Time (seconds)$ = 64 seconds
Therefore, the train will take 64 seconds to cover the distance of $\frac{4}{5}$ km.
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Important Questions from Speed Time and Distance
A journey of 900 km is completed in 11 h. If two-fifth of the journey is completed at the speed of 60 km/h, at what speed (in km/h) is the remaining journey completed?
A car starts from point A towards point B, travelling at the speed of 20 km/h. 1 \(\frac{1}{2}\) hours later, another car starts from point A and travelling at the speed of 30 km/h and reaches 2 \(\frac{1}{2}\) hours before the first car. Find the distance between A and B.
A bus covered a distance of 162 km. If speed of this bus is 15 m/s, then what will be the time taken ?
An athlete runs an 800 m race in 96 seconds. His speed (in km / h) is:
A person has to cover a distance of 150 km in 15 hours. If he traveled with the speed of 11.8 km/hr for 10 hours. At what speed he has to travel to cover the remaining distance in the remaining time?
